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Finding the Fourth Proportional to 9,906.53, 14,772.48 and 9,817.70

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Solution

The fourth proportional to 9,906.53, 14,772.48 and 9,817.70 is: 14,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.53 : 14,772.48 = 9,817.70 : x
  2. Step 2: Convert to fraction form
    9,906.53/14,772.48 = 9,817.70/x
  3. Step 3: Cross multiply
    9,906.53x = 14,772.48 × 9,817.70
  4. Step 4: Simplify right side
    9,906.53x = 145,031,776.90
  5. Step 5: Solve for x
    x = 145,031,776.90/9,906.53
  6. Step 6: Final answer
    x = 14,640.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.